Metric Structures In Differential Geometry
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Metric Structures in Differential Geometry
Author: Gerard Walschap
language: en
Publisher: Springer Science & Business Media
Release Date: 2004-03-18
This book offers an introduction to the theory of differentiable manifolds and fiber bundles. It examines bundles from the point of view of metric differential geometry: Euclidean bundles, Riemannian connections, curvature, and Chern-Weil theory are discussed, including the Pontrjagin, Euler, and Chern characteristic classes of a vector bundle. These concepts are illustrated in detail for bundles over spheres.
Differential Geometric Structures
Author: Walter A. Poor
language: en
Publisher: Courier Corporation
Release Date: 2015-04-27
This introductory text defines geometric structure by specifying parallel transport in an appropriate fiber bundle and focusing on simplest cases of linear parallel transport in a vector bundle. 1981 edition.